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lubasha [3.4K]
3 years ago
12

In Euclidean geometry, the sum of the measures of the interior angles of a pentagon is 540°. Predict how the sum of the measures

of the interior angles of a pentagon would be different in spherical geometry.
A.
The sum would be greater than 540°.
B.
The sum would still be 540°.
C.
The sum would be less than 540°.
D.
The sum would less than or greater than, but never equal to, 540°.
Mathematics
1 answer:
Blizzard [7]3 years ago
6 0
In Euclidean geometry, the sum of the measures of the interior anlges of a pentagon is 540°. 

The sum of the measures of the interior angles of a pentagon would be different in spherical geometry because A.) THE SUM WOULD BE GREATER THAN 540°
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Emily and Kylie are 140 miles apart, traveling towards each other. If Kylie travels 12 mph and Emily travels 8 mph how long unti
Bogdan [553]

Answer: 7 hr

Step-by-step explanation:

Given

Distance between Emily and Kylie is 140\ \text{miles}

Speed of Emily v_e=12\ mph

Speed of Kylie v_k=8\ mph

Distance traveled by Emily \Rightarrow d_e=12t

Distance traveled by Kylie \Rightarrow d_k=8t

\Rightarrow 12t+8t=140\\\Rightarrow 20t=140\\\Rightarrow t=7\ hr

They will meet after 7 hour.

3 0
3 years ago
The mean annual cost of an automotive insurance policy is normally distributed with a mean of $1140 and standard deviation of $3
DerKrebs [107]

Using the normal distribution, it is found that the probabilities are given as follows:

a) 0.8871 = 88.71%.

b) 0.0778 = 7.78%.

c) 0.8485 = 84.85%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

The parameters in this problem are given as follows:

\mu = 1140, \sigma = 310, n = 16, s = \frac{310}{\sqrt{16}} = 77.5

Item a:

The probability is the <u>p-value of Z when X = 1250 subtracted by the p-value of Z when X = 1000</u>, hence:

X = 1250:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{1250 - 1140}{77.5}

Z = 1.42

Z = 1.42 has a p-value of 0.9222.

X = 1000:

Z = \frac{X - \mu}{s}

Z = \frac{1000 - 1140}{77.5}

Z = -1.81

Z = -1.81 has a p-value of 0.0351.

0.9222 - 0.0351 = 0.8871 = 88.71% probability.

Item b:

The probability is <u>one subtracted by the p-value of Z when X = 1250</u>, hence:

1 - 0.9222 = 0.0778 = 7.78%.

Item c:

The probability is the <u>p-value of Z when X = 1220</u>, hence:

Z = \frac{X - \mu}{s}

Z = \frac{1220 - 1140}{77.5}

Z = 1.03

Z = 1.03 has a p-value of 0.8485.

0.8485 = 84.85% probability.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

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Answer:

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Step-by-step explanation:

if x=5 then,

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3 years ago
What is the volume of a cylinder with a radius of 10cm and a height of 30cm
lys-0071 [83]

Answer:

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Step-by-step explanation:

V = A of circle x h

= πr^2 x h

=(3.1416)(10)^2 x 30

=(3.1416)(100) x 30

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3 years ago
Help plz! I will give your answer a like and help too!
grigory [225]

Answer: 10 runners

8 ÷ ⅘ = 10

Plz mark brainliest:)

6 0
3 years ago
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